Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4410ba |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-67240638864000 = -1 · 27 · 36 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7267,-316123] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1696:1] |
Generators of the group modulo torsion |
j |
10100279/16000 |
j-invariant |
L |
5.0643376469814 |
L(r)(E,1)/r! |
Ω |
0.32635839033645 |
Real period |
R |
0.36946948923533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280dt1 490c1 22050x1 4410bl1 |
Quadratic twists by: -4 -3 5 -7 |